SOLUTION: Factoring to solve equations Solve: {{{ (1/2)x^2+x-(7/2)=4}}}

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Question 372368: Factoring to solve equations
Solve:
+%281%2F2%29x%5E2%2Bx-%287%2F2%29=4
Found 2 solutions by stanbon, mananth:
Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!

(1/2)x^2+x-(7/2)=4
---
Multiply thru by 2 to get:
x^2 + 2x - 7 = 8
---
Rearrange:
x^2 + 2x - 15 = 0
Factor:
(x+5)(x-3) = 0
x = -5 or x = 3
==================
Cheers,
Stan H.

Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F2%29x%5E2%2Bx-%287%2F2%29=4
..
multiply by 2
+2%2A%28%281%2F2%29x%5E2%2Bx-%287%2F2%29%29=4%2A2
..
x^2+2x-7 =8
x^2+2x-15 =0
x^2+5x-3x-15=0
x(x+5)-3(x+5)=0
(x+5)(x-3)=0
x=-5 OR x=3
...
m.ananth@hotmail.ca